Hardy spaces and potential theory on C1 domains in Riemannian manifolds
著者
書誌事項
Hardy spaces and potential theory on C1 domains in Riemannian manifolds
（Memoirs of the American Mathematical Society, no. 894）
American Mathematical Society, 2008
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注記
"Volume 191, number 894 (fourth of 5 numbers)."
Includes bibliographical references (p. 77-78)
内容説明・目次
内容説明
The author studies Hardy spaces on $C1$ and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.
目次
- Introduction Background and definitions The boundary layer potentials The Dirichlet problem The Neumann problem Compactness of layer potentials, Part II
- The Dirichlet regularity problem The equivalence of Hardy space definitions Appendix A. Variable coefficient Cauchy integrals Appendix B. One result on the maximal operator Bibliography.
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